Functions!

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input value, e.g., f(x).

Front

What does f(-4) mean in the function f(x) = 5x - 12?

Back

It means to substitute -4 for x in the function, resulting in f(-4) = 5(-4) - 12 = -32.

Front

What is the output of the function f(x) = 5x - 12 when x = -4?

Back

The output is -32.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

Given the points (3, 5), (2, 4), (9, 0), and (?, 6), what value of ? creates a non-function?

Back

The value of ? that creates a non-function is 3.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input value corresponds to exactly one output value.

Front

Which of the following sets is a function: (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

The set (6,-5) (7,-3) (8,-1) (9,1) is a function.

Front

What is the output of the function y = 2x + 6 when x = 2?

Back

The output is 10.

Front

How do you determine if a relation is a function from a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.